Thesis Proposal: A Logical Foundation for Session-based
... such as dependent session types [50], parametric polymorphism [7], among others I do not develop in this document (such as concurrent evaluation strategies [51] and asynchronous communication [12]), all the while doing so in a technically elegant way. While claims of elegance are by their very natur ...
... such as dependent session types [50], parametric polymorphism [7], among others I do not develop in this document (such as concurrent evaluation strategies [51] and asynchronous communication [12]), all the while doing so in a technically elegant way. While claims of elegance are by their very natur ...
p - Erwin Sitompul
... A formal proof is a set of proofs which follows logically from the set of premises. Formal proofs allow us to infer new true statements from known true statements. A proposition or its part can be transformed using a sequence of logical equivalence until some conclusions can be reached. Exam ...
... A formal proof is a set of proofs which follows logically from the set of premises. Formal proofs allow us to infer new true statements from known true statements. A proposition or its part can be transformed using a sequence of logical equivalence until some conclusions can be reached. Exam ...
- Horn-Representation of a Concept Lattice,
... Concept lattices structure the formal concepts of their corresponding formal contexts in a hierarchical manner. They form a central element of formal concept analysis (FCA) and are used in many applications to structure object-attribute data in an informative way. To fully determine a concept lattic ...
... Concept lattices structure the formal concepts of their corresponding formal contexts in a hierarchical manner. They form a central element of formal concept analysis (FCA) and are used in many applications to structure object-attribute data in an informative way. To fully determine a concept lattic ...
Paper - Department of Computer Science and Information Systems
... set of equations axiomatising the variety of Boolean algebras with operators and additional equations corresponding the axioms of L. A closely related algorithmic problem for L is the admissibility problem for inference rules: given an inference rule ϕ1 , . . . , ϕn /ϕ, decide whether it is admissib ...
... set of equations axiomatising the variety of Boolean algebras with operators and additional equations corresponding the axioms of L. A closely related algorithmic problem for L is the admissibility problem for inference rules: given an inference rule ϕ1 , . . . , ϕn /ϕ, decide whether it is admissib ...
Introduction to first order logic for knowledge representation
... Is the link that connects the real world with it’s matematical and abstract representation into a mathematical structure. If a certain situation is supposed to be abstractly described by a given structure, then the abstraction connects the elements that participats to the situation, with the compone ...
... Is the link that connects the real world with it’s matematical and abstract representation into a mathematical structure. If a certain situation is supposed to be abstractly described by a given structure, then the abstraction connects the elements that participats to the situation, with the compone ...
1 Names in free logical truth theory It is … an immediate
... Names in free logical truth theory It is … an immediate consequence of recognizing names like “Julius” in a language that classical logic must be modified. (Evans ...
... Names in free logical truth theory It is … an immediate consequence of recognizing names like “Julius” in a language that classical logic must be modified. (Evans ...
Internal Inconsistency and the Reform of Naïve Set Comprehension
... excluded from RSC comprehension by the Russell exclusion. It is contended that all set descriptions implicated in the known logical antinomies can be shown intuitively to “contain” their own contradictions since the contradiction is inferred by the set description of an invalid description alone; su ...
... excluded from RSC comprehension by the Russell exclusion. It is contended that all set descriptions implicated in the known logical antinomies can be shown intuitively to “contain” their own contradictions since the contradiction is inferred by the set description of an invalid description alone; su ...
Nelson`s Strong Negation, Safe Beliefs and the - CEUR
... Intuitively, we can explain safe beliefs as follows: Our formula or program represents our knowledge. We want its semantics to be a complete theory. For some atoms a in the language, either a or ¬a can be infered directly from the information in the program. If this is not the case, we will have to ...
... Intuitively, we can explain safe beliefs as follows: Our formula or program represents our knowledge. We want its semantics to be a complete theory. For some atoms a in the language, either a or ¬a can be infered directly from the information in the program. If this is not the case, we will have to ...
Everything Else Being Equal: A Modal Logic for Ceteris Paribus
... the other as a non-monotonic system. Our later discussion will clarify these issues. The paper is organized as follows. In Section 2, we present and discuss von Wright’s original work in preference logic, in order to motivate some of the notions we develop later, but also as a foundational standard ...
... the other as a non-monotonic system. Our later discussion will clarify these issues. The paper is organized as follows. In Section 2, we present and discuss von Wright’s original work in preference logic, in order to motivate some of the notions we develop later, but also as a foundational standard ...
Views: Compositional Reasoning for Concurrent Programs
... Since composition is used to combine the views of different threads, it must ensure consistency between these views. For example, to combine two typing contexts, they must agree on the type of any variables they have in common. Since threads only maintain the types in their view, if agreement was no ...
... Since composition is used to combine the views of different threads, it must ensure consistency between these views. For example, to combine two typing contexts, they must agree on the type of any variables they have in common. Since threads only maintain the types in their view, if agreement was no ...
Dynamic logic of propositional assignments
... this, decidability of the satisfiability problem follows. Our result contrasts with both Miller and Moss’s undecidability result for the extension of PAL by the PDL program connectives and with Tiomkin and Makowsky’s undecidability result for the extension of PDL by local assignments. But the decida ...
... this, decidability of the satisfiability problem follows. Our result contrasts with both Miller and Moss’s undecidability result for the extension of PAL by the PDL program connectives and with Tiomkin and Makowsky’s undecidability result for the extension of PDL by local assignments. But the decida ...
Slide 1
... Fuzzy Tautologies, Contradictions, Equivalence, and Logical Proofs The extension of truth operations for tautologies, contradictions, equivalence, and logical proofs is no different for fuzzy sets; the results, however, can differ considerably from those in classical logic. If the truth values for ...
... Fuzzy Tautologies, Contradictions, Equivalence, and Logical Proofs The extension of truth operations for tautologies, contradictions, equivalence, and logical proofs is no different for fuzzy sets; the results, however, can differ considerably from those in classical logic. If the truth values for ...
Ultrasheaves
... Grothendieck gave a more general definition of sheaves by replacing the partially ordered collection of open subsets of a topological space by objects in a category C, in which some suitable families of maps Ui → X (for i ∈ I) form “covers” of objects X in C. For such a “Grothendieck topology” a she ...
... Grothendieck gave a more general definition of sheaves by replacing the partially ordered collection of open subsets of a topological space by objects in a category C, in which some suitable families of maps Ui → X (for i ∈ I) form “covers” of objects X in C. For such a “Grothendieck topology” a she ...
Taming method in modal logic and mosaic method in temporal logic
... We want to apply the mosaic method for proving decidability and Hilbertstyle completeness of temporal logics over linear flows of time. The mosaic approach serves as a general method to prove decidability of certain frames of logic. The main key is to show that the existence of a model is equivalent ...
... We want to apply the mosaic method for proving decidability and Hilbertstyle completeness of temporal logics over linear flows of time. The mosaic approach serves as a general method to prove decidability of certain frames of logic. The main key is to show that the existence of a model is equivalent ...
Syllogistic Logic with Complements
... Proof trees We have discussed the meager syntax of L(all, some, 0 ) and its semantics. We next turn to the proof theory. A proof tree over Γ is a finite tree T whose nodes are labeled with sentences in our fragment, with the additional property that each node is either an element of Γ or comes from ...
... Proof trees We have discussed the meager syntax of L(all, some, 0 ) and its semantics. We next turn to the proof theory. A proof tree over Γ is a finite tree T whose nodes are labeled with sentences in our fragment, with the additional property that each node is either an element of Γ or comes from ...
Tableau-based decision procedure for the full
... development of efficient decision procedures for them. In the recent precursor [5] to the present paper, we set out to fill in the above-mentioned gap by developing a practically efficient (within the theoretical complexity bounds) tableau-based decision procedure for the coalitional multiagent temp ...
... development of efficient decision procedures for them. In the recent precursor [5] to the present paper, we set out to fill in the above-mentioned gap by developing a practically efficient (within the theoretical complexity bounds) tableau-based decision procedure for the coalitional multiagent temp ...
Logical Omniscience As Infeasibility - boris
... those considered possible. Unlike most other approaches, neighborhood semantics has some minimal level of rationality embedded in it: with every known fact, an agent knows all equivalent facts because this semantics is extensional. While seeming perfectly rational, this does smuggle at least some le ...
... those considered possible. Unlike most other approaches, neighborhood semantics has some minimal level of rationality embedded in it: with every known fact, an agent knows all equivalent facts because this semantics is extensional. While seeming perfectly rational, this does smuggle at least some le ...
Document
... Because Tp is not monotonic nor continuous, it is not possible, in general to get a fixpoint, nor a least model from an extended program. Nevertheless, there are minimal models, although not necessarily unique. ...
... Because Tp is not monotonic nor continuous, it is not possible, in general to get a fixpoint, nor a least model from an extended program. Nevertheless, there are minimal models, although not necessarily unique. ...
Everything is Knowable - Computer Science Intranet
... believed by you, but by me. (The announcement can be assumed to be made by an outsider not modelled in the logic with an epistemic operator. But in principle we can model both the speaker and the listener and we would get Kme (p ∧ ¬Kyou p) for different epistemic modalities Kme and Kyou, as in the l ...
... believed by you, but by me. (The announcement can be assumed to be made by an outsider not modelled in the logic with an epistemic operator. But in principle we can model both the speaker and the listener and we would get Kme (p ∧ ¬Kyou p) for different epistemic modalities Kme and Kyou, as in the l ...
Definability in Boolean bunched logic
... A property P of BBI-models is said to be definable if there exists a formula A such that for all BBI-models M , A is valid in M ⇐⇒ M ∈ P. We’ll consider properties that feature in various models of separation logic. To show a property is definable, just exhibit the defining ...
... A property P of BBI-models is said to be definable if there exists a formula A such that for all BBI-models M , A is valid in M ⇐⇒ M ∈ P. We’ll consider properties that feature in various models of separation logic. To show a property is definable, just exhibit the defining ...
Phil 2302 Intro to Logic
... major premise, and an unconditional minor premise leading to an unconditional conclusion. 1. A conditional major premise. 2. An unconditional minor premise. 3. An unconditional conclusion. Rather than having three terms as categorical syllogisms do, a hypothetical syllogism has only two terms. Inste ...
... major premise, and an unconditional minor premise leading to an unconditional conclusion. 1. A conditional major premise. 2. An unconditional minor premise. 3. An unconditional conclusion. Rather than having three terms as categorical syllogisms do, a hypothetical syllogism has only two terms. Inste ...
Reasoning about Action and Change
... To our knowledge, nobody so far tried to cope with the combinatorial problem and the overcommitment problem in a dynamic logic framework. A notable exception is the paper of Stephan & Biundo (1993) (see also Kautz, 1982; Morreau, 1992). In the language of firstorder dynamic logic they propose frame ...
... To our knowledge, nobody so far tried to cope with the combinatorial problem and the overcommitment problem in a dynamic logic framework. A notable exception is the paper of Stephan & Biundo (1993) (see also Kautz, 1982; Morreau, 1992). In the language of firstorder dynamic logic they propose frame ...
![arXiv:1410.5037v2 [cs.LO] 18 Jun 2016](http://s1.studyres.com/store/data/007883898_2-29c425582568c0e0d15c3d815896c9cf-300x300.png)
arXiv:1410.5037v2 [cs.LO] 18 Jun 2016
... The satisfiability problem of two-variable logic FO2 was shown to be NEXPTIME-complete in [9]. The extension of two-variable logic with counting quantifiers, FOC2 , was proved decidable in [10,21], and it was subsequently shown to be NEXPTIME-complete in [22]. Research on extensions and variants of ...
... The satisfiability problem of two-variable logic FO2 was shown to be NEXPTIME-complete in [9]. The extension of two-variable logic with counting quantifiers, FOC2 , was proved decidable in [10,21], and it was subsequently shown to be NEXPTIME-complete in [22]. Research on extensions and variants of ...
POSSIBLE WORLDS SEMANTICS AND THE LIAR Reflections on a
... General intensional logic — the logical study of so-called oblique or intensional constructions — is an area that is thriving on paradoxes and puzzles but is also haunted by them. There are, of course, the puzzles of intensionality that started the whole enterprise and constitute its raison d’être: ...
... General intensional logic — the logical study of so-called oblique or intensional constructions — is an area that is thriving on paradoxes and puzzles but is also haunted by them. There are, of course, the puzzles of intensionality that started the whole enterprise and constitute its raison d’être: ...
Primitive Recursive Arithmetic and its Role in the Foundations of
... higher-order equality that I advocated above in connection with the theory T and say something about its remedy. The relation s =A,B t or for simplicity s = t of extensional equality between objects respectively of type A and type B (unlike that of intensional equality) is definable in the theory it ...
... higher-order equality that I advocated above in connection with the theory T and say something about its remedy. The relation s =A,B t or for simplicity s = t of extensional equality between objects respectively of type A and type B (unlike that of intensional equality) is definable in the theory it ...
Jesús Mosterín
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Jesús Mosterín (born 1941) is a leading Spanish philosopher and a thinker of broad spectrum, often at the frontier between science and philosophy.