Higher Order Logic - Theory and Logic Group
... Higher order logics, long considered by many to be an esoteric subject, 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 comp ...
... Higher order logics, long considered by many to be an esoteric subject, 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 comp ...
A Logical Framework for Default Reasoning
... facts known to be true, and a pool of possible hypotheses, to find an explanation which is a set of instances of possible hypotheses used to predict the expected observations (i.e., together with the facts implies the observations) and is consistent with the facts (i.e., does not predict anything kn ...
... facts known to be true, and a pool of possible hypotheses, to find an explanation which is a set of instances of possible hypotheses used to predict the expected observations (i.e., together with the facts implies the observations) and is consistent with the facts (i.e., does not predict anything kn ...
LPF and MPLω — A Logical Comparison of VDM SL and COLD-K
... definedness. For formulae formed with Kleene’s or McCarthy’s connectives and Kleene’s quantifiers, logical consequence for three-valued logics according to the second idea reduces to classical logical consequence for two-valued logics. For formulae formed with Kleene’s connectives and Kleene’s quant ...
... definedness. For formulae formed with Kleene’s or McCarthy’s connectives and Kleene’s quantifiers, logical consequence for three-valued logics according to the second idea reduces to classical logical consequence for two-valued logics. For formulae formed with Kleene’s connectives and Kleene’s quant ...
Views: Compositional Reasoning for Concurrent Programs
... again have knowledge that variables agree with their types, but may make updates that change the types of variables. Threads’ views may be consistently composed only if they describe disjoint sets of variables, which each thread can be seen to own. Note that, since heap locations may be aliased by m ...
... again have knowledge that variables agree with their types, but may make updates that change the types of variables. Threads’ views may be consistently composed only if they describe disjoint sets of variables, which each thread can be seen to own. Note that, since heap locations may be aliased by m ...
Weyl`s Predicative Classical Mathematics as a Logic
... considered propositions, and these are collected into a universe, usually denoted by Prop. The other types are often called datatypes to distinguish them. Figure 1 shows the universe structure of several type theories. When types are identified with propositions in this way, many natural type constr ...
... considered propositions, and these are collected into a universe, usually denoted by Prop. The other types are often called datatypes to distinguish them. Figure 1 shows the universe structure of several type theories. When types are identified with propositions in this way, many natural type constr ...
Modal Logic for Artificial Intelligence
... is valid, regardless of the sentences we use in the place of A and B. The only items that need to be fixed are ‘or’ and ‘not’ in this case. If we would replace ‘not’ by ‘maybe’, then the argument would not be valid anymore. We call ‘or’ and ‘not’ logical constants. Together with ‘and’, ‘if . . . the ...
... is valid, regardless of the sentences we use in the place of A and B. The only items that need to be fixed are ‘or’ and ‘not’ in this case. If we would replace ‘not’ by ‘maybe’, then the argument would not be valid anymore. We call ‘or’ and ‘not’ logical constants. Together with ‘and’, ‘if . . . the ...
propositional logic extended with a pedagogically useful relevant
... this connection. The first move is legitimate but insufficient: one shows that it is correct that the paradoxes are apparent only. Indeed, there is a discrepancy between PC and the logical constants from natural languages, but there is a systematic and coherent2 idea behind PC. So PC is all right as ...
... this connection. The first move is legitimate but insufficient: one shows that it is correct that the paradoxes are apparent only. Indeed, there is a discrepancy between PC and the logical constants from natural languages, but there is a systematic and coherent2 idea behind PC. So PC is all right as ...
