Topological aspects of real-valued logic
... We introduce an infinitary real-valued extension of first-order continuous logic for metric structures which is analogous to the discrete logic Lω1 ,ω , and use topological methods to develop the model theory of this new logic. Our logic differs from previous infinitary logics for metric structures ...
... We introduce an infinitary real-valued extension of first-order continuous logic for metric structures which is analogous to the discrete logic Lω1 ,ω , and use topological methods to develop the model theory of this new logic. Our logic differs from previous infinitary logics for metric structures ...
X - NUS School of Computing
... Quantifiers are words that refer to quantities such as “some” or “all” and tell for how many elements a given predicate is true. The symbol denotes “for all” (or “for any”, “for every”, “for each”) and is called the universal quantifier. Definition 3.1.3 (Universal Statement) Let Q(x) be a predica ...
... Quantifiers are words that refer to quantities such as “some” or “all” and tell for how many elements a given predicate is true. The symbol denotes “for all” (or “for any”, “for every”, “for each”) and is called the universal quantifier. Definition 3.1.3 (Universal Statement) Let Q(x) be a predica ...
X - NUS School of Computing
... Quantifiers are words that refer to quantities such as “some” or “all” and tell for how many elements a given predicate is true. The symbol denotes “for all” (or “for any”, “for every”, “for each”) and is called the universal quantifier. Definition 3.1.3 (Universal Statement) Let Q(x) be a predica ...
... Quantifiers are words that refer to quantities such as “some” or “all” and tell for how many elements a given predicate is true. The symbol denotes “for all” (or “for any”, “for every”, “for each”) and is called the universal quantifier. Definition 3.1.3 (Universal Statement) Let Q(x) be a predica ...
Syntax and Semantics of Dependent Types
... We will henceforth freely suppress type annotations if this increases readability. For instance, we may write x: :M or even x:M instead of x: :M . We sometimes omit a prevailing context ? and thus write ` J instead of ? ` J . We write ` J if we want to emphasise that a judgement holds in th ...
... We will henceforth freely suppress type annotations if this increases readability. For instance, we may write x: :M or even x:M instead of x: :M . We sometimes omit a prevailing context ? and thus write ` J instead of ? ` J . We write ` J if we want to emphasise that a judgement holds in th ...
Most Ordinary Counterfactuals are (Probably) False
... This infinite coin toss experiment corresponds to an infinite, highly biased lottery: ticket #i wins iff the coin lands heads for the first time on the ith toss. In this lottery, it is possible that no ticket will win (even though this can only happen in one way, and it can fail to happen in infi ...
... This infinite coin toss experiment corresponds to an infinite, highly biased lottery: ticket #i wins iff the coin lands heads for the first time on the ith toss. In this lottery, it is possible that no ticket will win (even though this can only happen in one way, and it can fail to happen in infi ...
Ground Nonmonotonic Modal Logics - Dipartimento di Informatica e
... does not provide a nonmonotonic logic, while S5 models of minimal knowledge have a natural interpretation as maximal sets of possible worlds. The goal of our work1 is to study the family of ground logics, from the semantical, computational and epistemological viewpoint. With respect to the first iss ...
... does not provide a nonmonotonic logic, while S5 models of minimal knowledge have a natural interpretation as maximal sets of possible worlds. The goal of our work1 is to study the family of ground logics, from the semantical, computational and epistemological viewpoint. With respect to the first iss ...
Inferential Erotetic Logic meets Inquisitive Semantics. Research
... [26] provides a state-of-the-art exposition of IEL. For a concise introduction see [24] or ...
... [26] provides a state-of-the-art exposition of IEL. For a concise introduction see [24] or ...
A causal approach to nonmonotonic reasoning
... From the point of view of the present study, the causal reasoning constitutes an important conceptual shift in the general framework of explanatory nonmonotonic reasoning, since it is based on a direct and transparent description of factual and causal (explanatory) information about the world. In ot ...
... From the point of view of the present study, the causal reasoning constitutes an important conceptual shift in the general framework of explanatory nonmonotonic reasoning, since it is based on a direct and transparent description of factual and causal (explanatory) information about the world. In ot ...
Proofs in theories
... In Chapters 1, 2, and 3, we shall present the basic notions of proof, theory and model used in these course notes. When presenting the notion of proof we emphasize the notion of constructivity and that of cut. When we present the notion of theory, we emphasize that a theory should be defined as an a ...
... In Chapters 1, 2, and 3, we shall present the basic notions of proof, theory and model used in these course notes. When presenting the notion of proof we emphasize the notion of constructivity and that of cut. When we present the notion of theory, we emphasize that a theory should be defined as an a ...
DIPLOMAMUNKA
... It is well known that the class of primitive relations is closed under substitution by primitive recursive functions, conjunction, disjunction, negation, bounded quantification and bounded minimization. In other words, if R, R0 are n-ary relations, S is an (n + 1)-ary relation, f0 , f1 , . . . , fn− ...
... It is well known that the class of primitive relations is closed under substitution by primitive recursive functions, conjunction, disjunction, negation, bounded quantification and bounded minimization. In other words, if R, R0 are n-ary relations, S is an (n + 1)-ary relation, f0 , f1 , . . . , fn− ...
