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Dynamic logic of propositional assignments
Dynamic logic of propositional assignments

... the computational complexity of model checking with DL-PA is EXPTIME-complete. In contrast, the complexity of model checking a transition system with PDL is PTIME-complete. As we shall show, the complexity of DL-PA satisfiability checking remains EXPTIME-complete, which is also the complexity of PDL ...
Fichte`s Legacy in Logic
Fichte`s Legacy in Logic

... logic of judgment deals only with general representations (i.e., not with intuitions), any judgment that is recognized in logic requires the synthesis [Synthesis] or combination [Verbindung] of at least two concepts. I shall refer to this as Kant’s synthetic construal of judgment. The traces of the ...
The Foundations
The Foundations

Note 2 - inst.eecs.berkeley.edu
Note 2 - inst.eecs.berkeley.edu

Note 2 - EECS: www-inst.eecs.berkeley.edu
Note 2 - EECS: www-inst.eecs.berkeley.edu

Modal Reasoning
Modal Reasoning



Nelson`s Strong Negation, Safe Beliefs and the - CEUR
Nelson`s Strong Negation, Safe Beliefs and the - CEUR

Sketch-as-proof - Norbert Preining
Sketch-as-proof - Norbert Preining

... the axiomatic theory (cf. 2.4) and finally we will present some consequences of the axioms for projective geometry (cf. 2.5). For a good textbook on projective geometry see [3]. ...
A Partially Truth Functional Approach to
A Partially Truth Functional Approach to

... paradigm cases have the form “If A then B” where A and B are statements that can “stand alone” (unlike “I were rich” in “If I were rich then I would own a yacht”). Such constructions will here be denoted “A > B.” Interpreting A > B as the material conditional implies that it is either true or false ...
article in press - School of Computer Science
article in press - School of Computer Science

... property of intuitionistic modal logic have been proved in [33–35] using an embedding of intuitionistic modal logics with n modalities in classical modal logics with n + 1 modalities. However, their results can only be used to prove decidability of those intuitionistic modal logics, for which the co ...
Horn Clauses in Propositional Logic Notions of complexity
Horn Clauses in Propositional Logic Notions of complexity

The unintended interpretations of intuitionistic logic
The unintended interpretations of intuitionistic logic

... where x is not free in A(0) in the rule above. The system HA is strong enough to prove essentially all number theoretic results we find in any text on number theory. The main exceptions involve theorems related to incompleteness proofs of P A and statements that are true in P A only because of their ...
The Foundations
The Foundations

Completeness and Decidability of a Fragment of Duration Calculus
Completeness and Decidability of a Fragment of Duration Calculus

... Duration Calculus (DC) was introduced by Zhou, Hoare and Ravn in 1991 as a logic to specify the requirements for real-time systems. DC has been used successfully in many case studies, see e.g. [ZZ94,YWZP94,HZ94,DW94,BHCZ94,XH95], [Dan98,ED99]. In [DW94], we have developed a method for designing a re ...
34-2.pdf
34-2.pdf

Soundness and Completeness - Cognitive Science Department
Soundness and Completeness - Cognitive Science Department

... rules of S is sound. • If the inference rules deal with subproofs, such a proof can actually become rather technical, even if the soundness of each inference rules is intuitive clear (see e.g. proof of soundness of F in “Language, Proof, and Logic”). • The good news is that Alpha does not deal with ...
Maximal Introspection of Agents
Maximal Introspection of Agents

... The reason for agent 2 to believe that agent 1 has a false belief could e.g. be that agent 2 sees that agent 1 cannot see the dotted box (the black box is blocking the view of agent 1), and agent 2 therefore expects agent 1 to have the false belief that there are only two boxes present. The problem ...
Beginning Logic - University of Notre Dame
Beginning Logic - University of Notre Dame

Combining Paraconsistent Logic with Argumentation
Combining Paraconsistent Logic with Argumentation

... no matter what, while if the rule is defeasible, its consequent must be accepted if there are no good reasons not to accept it. Arguments can be attacked on their (ordinary) premises and on their applications of defeasible inference rules. Some attacks succeed as defeats, which is partly determined ...
Consequence relations and admissible rules
Consequence relations and admissible rules

Turner`s Logic of Universal Causation, Propositional Logic, and
Turner`s Logic of Universal Causation, Propositional Logic, and

Ways Things Can`t Be
Ways Things Can`t Be

Logic 1 Lecture Notes Part I: Propositional Logic
Logic 1 Lecture Notes Part I: Propositional Logic

... Some authors of logical texts (e.g., Hodges) use Greek letters ‘ϕ’, ‘ψ’, etc. as metavariables for formulas. For example, in Hodges, you might find statements like A conjunction formula ϕ ∧ ψ implies ϕ; In our course, we shall write instead, A conjunction formula A ∧ B implies A Note that this is a ...
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Natural deduction

In logic and proof theory, natural deduction is a kind of proof calculus in which logical reasoning is expressed by inference rules closely related to the ""natural"" way of reasoning. This contrasts with the axiomatic systems which instead use axioms as much as possible to express the logical laws of deductive reasoning.
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