Equivalence of the information structure with unawareness to the
... All tautologies of propositional logic are also axioms of the logic of awareness. Additional theorems can be derived from the axioms and previous theorems using rules of inference. The rules of inference in the logic of awareness are the same as in traditional modal logic, but the rule (RN) is appli ...
... All tautologies of propositional logic are also axioms of the logic of awareness. Additional theorems can be derived from the axioms and previous theorems using rules of inference. The rules of inference in the logic of awareness are the same as in traditional modal logic, but the rule (RN) is appli ...
Supplement: Conditional statements and basic methods of proof
... First note that there is only one set of circumstances under which a conditional statement is false: The hypothesis is true and the conclusion is false. Therefore to establish that a conditional statement is false, it suffices to produce a specific counterexample; that is, a specific situation for w ...
... First note that there is only one set of circumstances under which a conditional statement is false: The hypothesis is true and the conclusion is false. Therefore to establish that a conditional statement is false, it suffices to produce a specific counterexample; that is, a specific situation for w ...
What Is Answer Set Programming?
... exactly once). The ASP program below should be combined with definitions of the predicates vertex and edge, as in the previous example. It uses the predicate in to express that an edge belongs to the path; we assume that 0 is one of the vertices. {in(X,Y)} :- edge(X,Y). :- 2 {in(X,Y) : edge(X,Y)}, v ...
... exactly once). The ASP program below should be combined with definitions of the predicates vertex and edge, as in the previous example. It uses the predicate in to express that an edge belongs to the path; we assume that 0 is one of the vertices. {in(X,Y)} :- edge(X,Y). :- 2 {in(X,Y) : edge(X,Y)}, v ...
1 LOGICAL CONSEQUENCE: A TURN IN STYLE KOSTA DO SEN
... successor’, ‘2 has a successor’, etc. for each natural number; as a consequence of we have the sentence ‘Every natural number has a successor’. On a rather abstract level of logic, one may envisage a deduction corresponding to the consequence relation in this example (the rule justifying this ded ...
... successor’, ‘2 has a successor’, etc. for each natural number; as a consequence of we have the sentence ‘Every natural number has a successor’. On a rather abstract level of logic, one may envisage a deduction corresponding to the consequence relation in this example (the rule justifying this ded ...