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Quantifier independence can be conceptualized in game-theoretical terms making use of the notion of strategy.
The notion of strategy is complementary: this describes how rules are applied.
The notion of the strategy of a player must not be confused with the game-theoretical notion of strategy profile.
One of the two ways corresponds to Hintikka's notion of Skolem function, the other corresponding to a generalized notion of strategy function.
Strategy functions are construed as Skolem functions – the more general notion of strategy function operative in slash logic is not considered here (cf. the beginning of Sect. 3 and Subsect. 6.1).
The notion of strategy functions is no longer adequate for describing the players; instead Japaridze describes ways of reading the second player (player ∃ in our notation) as a kind of computing machine.
Similar(54)
A winning strategy for player 2 in G φ, M, g) is a strategy F such that against any sequence of moves by player 1, following strategy F yields a win for player 2. The notions of strategy and winning strategy can be similarly defined for player 1.[21] The fact that φ is true in M will be denoted by 'M ⊨ φ.' Writing M ⊭ φ indicates, then, that φ is not true in M.
Twentieth-century notions of strategy revolved around your position relative to competition.
Truth and falsity are characterized in terms of the notion of winning strategy.
Cai et al. [12] considered a more general model that incorporates the notion of threshold strategy.
The second step is to define the notions of 'true' and 'false' in terms of the semantic games; this happens by reference to the notion of winning strategy.
Related(20)
point of strategy
theory of strategy
understanding of strategy
notion of term
notion of leadership
principle of strategy
notion of policy
sense of strategy
expression of strategy
conception of strategy
notion of orientation
suggestion of strategy
notion of integrated
notion of time
notion of retirement
notion of change
notion of forgiveness
notion of overexposure
notion of course
notion of wine
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