propositional logic
... where n is the number or propositional variables (or atoms) existing in A. The function fA is called the truth function determined by A. Generally, a truth function is a mapping from a set of truth distributions onto the set of truth values. Thus for any truth functional expression it holds that a t ...
... where n is the number or propositional variables (or atoms) existing in A. The function fA is called the truth function determined by A. Generally, a truth function is a mapping from a set of truth distributions onto the set of truth values. Thus for any truth functional expression it holds that a t ...
Barwise: Infinitary Logic and Admissible Sets
... that isomorphic structures are potentially isomorphic. In the other direction, potentially isomorphic structures are very similar to each other, but are not necessarily isomorphic. For example, any two infinite structures with the empty vocabulary are potentially isomorphic. While two potentially is ...
... that isomorphic structures are potentially isomorphic. In the other direction, potentially isomorphic structures are very similar to each other, but are not necessarily isomorphic. For example, any two infinite structures with the empty vocabulary are potentially isomorphic. While two potentially is ...
Modus Ponens Defended
... As I use the term, ‘good deductive argument’ is a largely pre-theoretic evaluative concept applicable in the third-person standpoint of appraisal. Good deductive arguments are those that we can appropriately make in any categorical deliberative context where the premises of the argument are known an ...
... As I use the term, ‘good deductive argument’ is a largely pre-theoretic evaluative concept applicable in the third-person standpoint of appraisal. Good deductive arguments are those that we can appropriately make in any categorical deliberative context where the premises of the argument are known an ...
Deductive Reasoning
... reasoning mechanism central to reasoning and problem solving. There are several alternative views that deny this claim. One view is that humans do not possess a generalpurpose mechanism for deductive reasoning, but rather a different kind of generalpurpose reasoning mechanism, for example one devote ...
... reasoning mechanism central to reasoning and problem solving. There are several alternative views that deny this claim. One view is that humans do not possess a generalpurpose mechanism for deductive reasoning, but rather a different kind of generalpurpose reasoning mechanism, for example one devote ...
The Journal of Functional and Logic Programming The MIT Press
... III [Col87], which has a host of constraint domains. Prolog itself can be seen as CLP(FT ) where FT is the constraint domain of finite trees represented as terms in the Herbrand universe. Actually, all the CLP(X ) systems in which X is not FT or an extension of it1 still retain the possibility of bu ...
... III [Col87], which has a host of constraint domains. Prolog itself can be seen as CLP(FT ) where FT is the constraint domain of finite trees represented as terms in the Herbrand universe. Actually, all the CLP(X ) systems in which X is not FT or an extension of it1 still retain the possibility of bu ...
Travel and Home: Conceiving Transnational Communities through
... Moreover, the betweenness relation asserts that the intermediary point is not external to a and b, but that the intermediary is “in” them – “as their nature is diversified into their differences” (1904, 81). How a and b are distinct from one another occurs between their points and is not decided apa ...
... Moreover, the betweenness relation asserts that the intermediary point is not external to a and b, but that the intermediary is “in” them – “as their nature is diversified into their differences” (1904, 81). How a and b are distinct from one another occurs between their points and is not decided apa ...
DISCRETE MATHEMATICAL STRUCTURES - Atria | e
... Conditional Propositions: A proposition of the form ―if p then q‖ or ―p implies q‖, represented ―p → q‖ is called a conditional proposition. For instance: ―if John is from Chicago then John is from Illinois‖. The proposition p is called hypothesis or antecedent, and the proposition q is the conclusi ...
... Conditional Propositions: A proposition of the form ―if p then q‖ or ―p implies q‖, represented ―p → q‖ is called a conditional proposition. For instance: ―if John is from Chicago then John is from Illinois‖. The proposition p is called hypothesis or antecedent, and the proposition q is the conclusi ...
Euclidian Roles in Description Logics
... For example, in [2] the Description Logic RIQ is extended with several role axioms, like reflexive and irreflexive role axioms, disjoint role axioms and simple negation on roles. These extensions has motivated us to investigate possibilities of extending Description Logics with other role axioms. In ...
... For example, in [2] the Description Logic RIQ is extended with several role axioms, like reflexive and irreflexive role axioms, disjoint role axioms and simple negation on roles. These extensions has motivated us to investigate possibilities of extending Description Logics with other role axioms. In ...
Introduction to Linear Logic
... be denoted u and a list x1 , ..., xn of n pairwise distinct variables will be denoted x. Given the definition of free variables above, it should be clear how to formalise substitution. Rules for assignment of types to terms are given in Figure 1.1. Type assignments have the form of sequents x1 : A1 ...
... be denoted u and a list x1 , ..., xn of n pairwise distinct variables will be denoted x. Given the definition of free variables above, it should be clear how to formalise substitution. Rules for assignment of types to terms are given in Figure 1.1. Type assignments have the form of sequents x1 : A1 ...
Higher Order Logic - Theory and Logic Group
... are increasingly recognized for their foundational importance and practical usefulness, notably in Theoretical Computer Science. In this chapter we try to present a survey of some issues and results, without any pretense of completeness. Our choice of topics is driven by an attempt to cover the foun ...
... are increasingly recognized for their foundational importance and practical usefulness, notably in Theoretical Computer Science. In this chapter we try to present a survey of some issues and results, without any pretense of completeness. Our choice of topics is driven by an attempt to cover the foun ...