Studies in Logic and the Foundations of MathematicsFitting, M. C. (1969a). "Chapter 1: Propositional Intuitionistic Logic Semantics". In: Intuitionistic Logic Model Theory and Forcing. Vol. 54. Studies in Logic and the Foundations of Mathematics. Elsevier, pp. 19-27. doi: 10.1016/S0049- 237X(08) 70795-X (see p. 32).
A class of models is presented, in the form of continuation monads polymorphic for first-order individuals, that is sound and complete for minimal intuitionistic predicate logic (including disjunction and the existential quantifier). The proofs of soundness and completene...
Logic and game theoryEpistemic logicIntuitionistic logicKripke-type semanticsEpistemic logic of shallow depths has been developed by Kaneko-Suzuki using classical logic. In this paper, we adopt intuitionistic logic as the base logic to limit each player's reasoning to constructive one. The resulting ...
adding an extra forcing clause in the Kripkean semantics ([9] is a good reference for the intuitionistic notions used in this paper). Given a Kripke model K of a term-sufficient theory Γ and given a node α of K we let, α n F n := ∃m ∈ω α F m Now it makes sense...
Valentini, S. , 'The judgement calculus for intuitionistic linear logic: proof theory and semantics', Zeitschrift f. math. Log. 38,no. 1, 1992, 38-58.S. Valentini. The judgement calculus for intuitionistic linear logic: proof the- ory and semantics. Technical Report 64/89, University of ...
Rauszer, C.: Model theory for an extension of intuitionistic logic, Studia Logica 36 (1977), 73–87.C. Rauszer, Model theory for an extension of intuitionistic logic, Studia Logica 36 (1977), No. 1-2, pp. 73-87.Rauszer, C. 1977b. Model theory for an extension of intuitionistic ...
Universal proof theory: Feasible admissibility in intuitionistic modal logicsdoi:10.1016/j.apal.2024.103526Admissible rulesFeasible disjunction propertyIntuitionistic modal logicsWe introduce a general and syntactically defined family of sequent-style calculi over the propositional language with the modalities {...
Many influential writers have felt that the open-endedness of the set concept mandates the use of intuitionistic logic in set theory.1But with the exception of Lear, no one has spelt out the implication; it has only been gestured at. Nevertheless, despite its importance and frequent citation...
Intuitionistic and Type-2 Fuzzy Logic Enhancements in Neural and Optimization Algorithms: Theory and Applications (Studies in Computational Intelligence)This book describes the latest advances in fuzzy logic, neural networks, and optimization algorithms, as well as their hybrid intelligent combinations, and...
. "Chapter 2: Propositional Intuitionistic Logic Proof Theory". In: Intuition- istic Logic Model Theory and Forcing. Vol. 54. Studies in Logic and the Foundations of Mathematics. Elsevier, pp. 28-37. doi: 10.1016/S0049- 237X(08)70796- 1 (see p. 15)....