Multi-Agent Only
... But technically things were surprisingly cumbersome! The problem lies in the complexity in what agents consider possible: ...
... But technically things were surprisingly cumbersome! The problem lies in the complexity in what agents consider possible: ...
Reducing Propositional Theories in Equilibrium Logic to
... equivalent in a strong sense so that theory parts can be translated independent of the wider context in which they might be embedded. It was only recently established [1] that propositional theories are indeed equivalent (in a strong sense) to logic programs. The present paper extends this result wi ...
... equivalent in a strong sense so that theory parts can be translated independent of the wider context in which they might be embedded. It was only recently established [1] that propositional theories are indeed equivalent (in a strong sense) to logic programs. The present paper extends this result wi ...
Between Truth and Falsity
... formulas will have 3n lines. It’s worth doing, maybe one. Exercise: Use a truth table to show that (p v q) ↔ (p →q) is not a tautology, but that the formulas are both weakly ...
... formulas will have 3n lines. It’s worth doing, maybe one. Exercise: Use a truth table to show that (p v q) ↔ (p →q) is not a tautology, but that the formulas are both weakly ...
Section.8.3
... The order of a predicate is 1 if its arguments are terms. Otherwise the order is n + 1 where n is the maximum order of the arguments that are not terms. The order of a function is always 1 since it’s arguments are always terms. Examples. In the wff p(x) q(x, p) the order of p is one and the order ...
... The order of a predicate is 1 if its arguments are terms. Otherwise the order is n + 1 where n is the maximum order of the arguments that are not terms. The order of a function is always 1 since it’s arguments are always terms. Examples. In the wff p(x) q(x, p) the order of p is one and the order ...
A brief introduction to Logic and its applications
... Another reason why one could not prove P ∨ ¬P ? When you prove a statement such as A ∨ B you can extract a proof that answers whether A or B holds. If we were able to prove the excluded middle, we could extract an algorithm that, given some proposition tells us whether it is valid or not (Curry-Howa ...
... Another reason why one could not prove P ∨ ¬P ? When you prove a statement such as A ∨ B you can extract a proof that answers whether A or B holds. If we were able to prove the excluded middle, we could extract an algorithm that, given some proposition tells us whether it is valid or not (Curry-Howa ...
Tactical and Strategic Challenges to Logic (KAIST
... or IRDL for short. IRDL embodies a formidable heavy-equipment mathematical machinery, and is still very much a work in progress. There is no need here to absorb its many technicalities. It is perfectly possible to reflect on its importance for logic without going into the engineering nuts and bolts. ...
... or IRDL for short. IRDL embodies a formidable heavy-equipment mathematical machinery, and is still very much a work in progress. There is no need here to absorb its many technicalities. It is perfectly possible to reflect on its importance for logic without going into the engineering nuts and bolts. ...