The Pure Calculus of Entailment Author(s): Alan Ross Anderson and
... is a valid deduction of B from A, then AR-B shall follow from that deduction. Moreover, the fact that such a deduction exists, or correspondingly that an entailment A-RB holds, warrants the inference of B from A. That is, we expect also that an Elimination Rule (henceforth "-Y-E")will obtain for -*, ...
... is a valid deduction of B from A, then AR-B shall follow from that deduction. Moreover, the fact that such a deduction exists, or correspondingly that an entailment A-RB holds, warrants the inference of B from A. That is, we expect also that an Elimination Rule (henceforth "-Y-E")will obtain for -*, ...
Section 1: Propositional Logic
... You may wonder why we’re concerned with statement forms since we’re not concerned with function forms in other areas of mathematics but just their values. That is a misconception. We are concerned with function forms in algebra. It’s just that you’re so used to the equality of different forms that y ...
... You may wonder why we’re concerned with statement forms since we’re not concerned with function forms in other areas of mathematics but just their values. That is a misconception. We are concerned with function forms in algebra. It’s just that you’re so used to the equality of different forms that y ...
Formale Methoden der Softwaretechnik Formal methods of software
... Formal proofs in Fitch can be mechanically checked For each connective, there is an introduction rule, e.g. “from P, infer P ∨ Q”. an elimination rule, e.g. “from P ∧ Q, infer P”. ...
... Formal proofs in Fitch can be mechanically checked For each connective, there is an introduction rule, e.g. “from P, infer P ∨ Q”. an elimination rule, e.g. “from P ∧ Q, infer P”. ...
Partial Grounded Fixpoints
... Bogaerts et al. [2015] extended AFT with a concept called groundedness which is a surprisingly simple formalisation of intuitions that have existed in different research domains for years. They showed that grounded fixpoints are an intuitive concept, closely related to exact (two-valued) stable fixp ...
... Bogaerts et al. [2015] extended AFT with a concept called groundedness which is a surprisingly simple formalisation of intuitions that have existed in different research domains for years. They showed that grounded fixpoints are an intuitive concept, closely related to exact (two-valued) stable fixp ...
MATH20302 Propositional Logic
... Remark: Following the usual convention in mathematics we will use symbols such as p, q, respectively s, t, not just for individual propositional variables, respectively propositional terms, but also as variables ranging over propositional variables, resp. propositional terms, (as we did just above). ...
... Remark: Following the usual convention in mathematics we will use symbols such as p, q, respectively s, t, not just for individual propositional variables, respectively propositional terms, but also as variables ranging over propositional variables, resp. propositional terms, (as we did just above). ...
Lecture 2
... • ‘Unless’ generally means ‘or’. ‘I will go out unless it rains’ translates to ‘I will go out ˅ it will rain’. (Note the extra ‘will’.) • You could also use ‘￢(it will rain) I will go out’. • But you may think that ‘I will go out unless it rains’ implies that if it does rain then I won’t go out. T ...
... • ‘Unless’ generally means ‘or’. ‘I will go out unless it rains’ translates to ‘I will go out ˅ it will rain’. (Note the extra ‘will’.) • You could also use ‘￢(it will rain) I will go out’. • But you may think that ‘I will go out unless it rains’ implies that if it does rain then I won’t go out. T ...
Tableau techniques for ALC
... The literature gives us tableaux techniques for dealing with TBoxes as well. So eventually, we can use tableaus to decide whether a knowledge base is satisfiable or not. The easiest case for TBoxes is when we have acyclic terminologies. ...
... The literature gives us tableaux techniques for dealing with TBoxes as well. So eventually, we can use tableaus to decide whether a knowledge base is satisfiable or not. The easiest case for TBoxes is when we have acyclic terminologies. ...
Tableau-based decision procedure for the full
... our earlier work on tableaux for the full coalitional multiagent (purely) epistemic logic CMAEL(CD) [6]. In the present paper, we report on the second, and final, part of the project undertaken with the publication of [5]; namely, we present a sound, complete, and terminating incremental tableau for ...
... our earlier work on tableaux for the full coalitional multiagent (purely) epistemic logic CMAEL(CD) [6]. In the present paper, we report on the second, and final, part of the project undertaken with the publication of [5]; namely, we present a sound, complete, and terminating incremental tableau for ...
Extracting Proofs from Tabled Proof Search
... of proved subgoals is not, however, sufficient to deal with model checking of potentially non-terminating systems. For example, to prove bisimilarity of simple processes such as !a and !(a + a), a naive unfolding of the processes will not terminate (of course, checking bisimilarity is undecidable so ...
... of proved subgoals is not, however, sufficient to deal with model checking of potentially non-terminating systems. For example, to prove bisimilarity of simple processes such as !a and !(a + a), a naive unfolding of the processes will not terminate (of course, checking bisimilarity is undecidable so ...
Inquiry
An inquiry is any process that has the aim of augmenting knowledge, resolving doubt, or solving a problem. A theory of inquiry is an account of the various types of inquiry and a treatment of the ways that each type of inquiry achieves its aim.