Some Basic Propositions in Intuitionistic Provability Logic
MoL 2003 01: Some Intuitionistic Provability and Preservativity Logics (and their interrelations)
... First I want to express my greatest gratitude to my supervisor Prof. Dick de Jongh. He always tries to do everything to help me realize my Holland dream in logic not only intellectually but also socially. His ...
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Intuitionistic propositional logic and some special formula classes
... Intuitionists tie mathematical truth and falsity to proof and disproof, this means that for an intuitionist a mathematical statement is true if it can be proven and false if there exists a proof of its absurdity. ...
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How To Write Intuitionistic Logic
... Original intuitionistic meaning of knowledge Agents in asynchronous systems can obtain knowledge about other agents only by receiving some constructions from them, not by waiting for a fixed length of ...of ...
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PP 2005 16: A finitary treatment of the closed fragment of Japaridze's provability logic
... this logic. Using bisimulation techniques, we show that several basic results on the closed fragment of GLP, including the normal form theorem, can be proved by purely finitary means formalizable in elemen- ...
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The ILLTP Library for Intuitionistic Linear Logic
... three provability preserving translations considered in this ...provide some interesting insights on different behaviors of LL formulas coming from different transla- tions in the literature, but also ...
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PP 2008 37: The Information in Intuitionistic Logic
... of logic then ...for some language, one must always ask if that language is really the most appropriate medium for describing ...for intuitionistic logic, it has been asked why it sticks to ...
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BASIC CONCEPTS OF LOGIC
... Although propositions (or the meanings of statements) are always lurking be- hind the scenes, logic is primarily concerned with ...in some sense easier to point at, easier to work with; for example, ...
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Contents. Chapter 2. Basic mathematical logic Propositions and truth tables Mathematical proof Paradoxes 14 Exercises 2 14
... 3.5. Words The readers are referred to Berstel and Perrin [11] for the history of combinatorics on words. From Wiki, one may find the following introduction. “Combinatorics on words is a fairly new field of mathematics, ...
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Contents. Chapter 2. Basic mathematical logic Propositions and truth tables Mathematical proof Paradoxes 14 Exercises 2 14
... 3.5. Words The readers are referred to Berstel and Perrin [11] for the history of combinatorics on words. From Wiki, one may find the following introduction. “Combinatorics on words is a fairly new field of mathematics, ...
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Contents. Chapter 2. Basic mathematical logic Propositions and truth tables Mathematical proof Paradoxes 14 Exercises 2 14
... 3.5. Words The readers are referred to Berstel and Perrin [10] for the history of combinatorics on words. From Wiki, one may find the following introduction. “Combinatorics on words is a fairly new field of mathematics, ...
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The Logic of 'If-Then' Propositions
... The reason why modus ponens with a true conditonal statement yields a true conclusion on this interpretation is that the antecedent gives a sufficient condition of [r] ...
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MoL 2008 06: Models of the Polymodal Provability Logic
... any logic L, if we consider the canonical frame C L and let C be the set of sets of the form {Γ : φ ∈ Γ, Γ is maximal-L-consistent}, with φ ranging over all formulas, it is easily seen that (C L , C ) is a general ...
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Intuitionistic semantics and the revision of logic
... ave some rea so n to su p p o se th at R u ssell w as still v e r y con cern ed about g iv in g an inform al m otivation for h is sy stem w hich is capable of sta n d in g up to ca refu l p h ilosop h ical sc r u ...
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The Friedman-Sheard programme in intuitionistic logic
... With intuitionistic logic we obtain more freedom to assert additional natural principles about ...underlying logic of the base theory is classical but the logic of the truth predicate is ...
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A Hybrid Intuitionistic Logic: Semantics and Decidability
... Surprisingly, the soundness of the birelational models was not straightforward. The problematic cases are the inference rules for introduction of and the elimination of ♦ . In Kripke semantics, soundness is usually ...
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PP 2006 25: Intuitionistic Logic
... Intuitionistic logic in intuitionistic formal systems. Intuitionistic logic, in the form of propositional logic or predicate logic satisfies the so-called dis- junction ...
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Nonstαndαrd Connectives of Intuitionistic Propositionαl Logic
... Of course, one can argue that modal connectives are not new intuitionistic connectives, since they violate Condition (4), but modal connectives are not uniquely determined by their axiom[r] ...
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Kripke Semantics and Proof Systems for Combining Intuitionistic Logic and Classical Logic
... linear logic is that it generalizes the principles of Gentzen in terms of the conditions under which cut-elimination is ...(with some difficulties concerning ...linear logic emphasize the ...
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Tableau development for a bi-intuitionistic tense logic
... the logic itself, rather than its applications, and the semantic setting we use is more general than that arising from relations on graphs or ...tense logic, called biskt , for which a Kripke frame consists ...
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On the Decidability of Intuitionistic Tense Logic without Disjunction
... of intuitionistic tense ...the logic of tense implicative semi- lattices has the finite model ...the logic, it fol- lows that the logic is ...
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