The first Hilbert style formalization of the intuitionistic logic, formulated as a proof system, is due to A. Heyting (1930). In this chapter we present a Hilbert style proof system I that is equivalent to the Heyting's original formalization and discuss the relationship between intuitionistic ...
Shaw-Kwei Moh. Zhe-ch'üeh chu-yi lo-ch'i ti ch'ian-t'an ch'ai-shao (Simplified introduction to intuitionistic logic). Tung-pei Jen-min Ta-hsüeh tse-jan k'o-hsüeh hsüeh-pao, no. 2 (1957), pp. 247–265 来自 Cambridge Univ Press 喜欢 0 阅读量: 47 ...
The idea of interpreting types as structured objects, rather than sets, has a long pedigree, and is known to clarify various mysterious aspects of type theory. For instance, interpreting types as sheaves helps explain the intuitionistic nature of type-theoretic logic, while interpreting them as par...
A Closer Look at Some Subintuitionistic Logics 外文电子书籍.pdf A propositional logic with explicit fixed points 外文电子书籍.pdf A Transient, EMT-Linked Loss of Basement Memb... 外文电子书籍.pdf Advanced_in_Treatment_of_Anxiety_Disorde 外文电子书籍.pdf Alar Soft-Tissue Techniques in Rhinoplasty ...
Many propositions about the real world are not either true or false, rendering classical logic inadequate for reasoning with such propositions. Furthermore, most concepts used in human communication do not have crisp boundaries, rendering classical sets inadequate to represent such concept. The main ai...
intuitionistic logiclinear logicuniversal logicknowledgebasegame semantics/ C4210 Formal logic C1140E Game theoryThis work is an attempt to lay foundations for a theory of interactive computation and bring logic and theory of computing closer together. It semantically introduces a logic of computability...
Part 2 similarly sets up the parallels between (higher-order intuitionistic) type theories and toposes. This is perhaps more familiar ground, having been carefully gone over by a number of people some ten years ago (notably by M. P. Fourman in the Handbook of Mathematical Logic). In ...
Intuitionistic logicQuantum probability theoryThe focus of this article is on probability theories based on non-boolean event spaces that have potential for scientific and philosophical applications. Since the early 1930s, such an alternative probability theory has been systematically used to provide a ...
Key words: modal logic, resolution principle, unification 1. Introduction A straightforward application of the resolution principle [Ro65] to modal logic f... HJ Ohlbach - Springer-Verlag 被引量: 167发表: 1998年 Interpolation and Definability, Volume 1: Modal and Intuitionistic Logic 1. Introduct...